Fukaya categories of two-tori revisited

Abstract

We construct an A-infinity structure of the Fukaya category explicitly for any flat symplectic two-torus. The structure constants of the non-transversal A-infinity products are obtained as derivatives of those of transversal A-infinity products.

References in corpus (2)

• Homological mirror symmetry on noncommutative two-tori
• A-infinity algebras associated with elliptic curves and Eisenstein-Kronecker series